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Finding the Third Proportional to 88,635 and 189,730.50

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Solution

The third proportional to 88,635 and 189,730.50 is: 406,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,635 : 189,730.50 = 189,730.50 : x
  2. Step 2: Convert to fraction form
    88,635/189,730.50 = 189,730.50/x
  3. Step 3: Cross multiply
    88,635x = 189,730.50 × 189,730.50
  4. Step 4: Simplify right side
    88,635x = 35,997,662,630.25
  5. Step 5: Solve for x
    x = 35,997,662,630.25/88,635
  6. Step 6: Final answer
    x = 406,133.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.